Unit 2 EQUATIONS REVIEW

Absolute value

100

|x | = 6

{6, -6}

200

|x + 1| = 6

{5, -6}

300

|2x + 5| =11

{-8, 3}

400

3|x-4| + 1 =19

{ -2, 10}

500

-4|2w + 6| = -32

{-7,1}

Literal Equations

100

Solve for t:

I=prt

I/pr =t

200

V =∏r²h       Solve for h:

V/∏ r²= h

300

Solve for a:

w = 7a + 4b

a= w-4b/ 7

400

Solve for y:

Ax + By = C

y= C-Ax/ B

500

Solve for p:

r=4/3 (p-q)

p=3/4 r + q

Proportions

100

2/9 = 4/x + 8

x = 10

200

6/ y-5 = 18/ y+1

y = 8

300

5/ y-7 =3/ y-5

y = 2

400

6/2n-5 = 2/n-7

n=16

500

What do you especially need to remember about solving proportions?

Cross multiply, distribute and solve for the variable.

Translating

100

Translate Five minus four times a number is fifteen.

5 - 4x = 15

200

Translate.  The sum of four and a number is the product of 5 and the number.

4+x = 5x

300

Translate and solve. The quotient of a number and three is fifteen.

x/3 = 15.    x=45

400

Translate  ten less that a number is nine.

x - 10 = 9

500

Translate and solve.

Eighteen less than twice a number is six

2x - 18 = 6,   x = 12

Equations

100

-12x + 8 + 5x = 36

x = -4

200

8k - (6k-4) = 10

x = 3

300

-2y + 4 = 8y - 6

y = 1

400

13w-2(4w+1) = w-58

w =-14

500

3h-2(4h-5) = 10 - 5h

     ∞